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# If it takes x hours of shoveling to gather y pounds of coal, then how many hours of shoveling does it take to gather a ton of coal?

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If it takes x hours of shoveling to gather y pounds of coal, then how many hours of shoveling does it take to gather a ton of coal?

Oct 25, 2019

#1
+440
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Oct 25, 2019
#2
+109518
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Thanks SVS,

this is how I would attach this problem,

I had to look it up but I also have     2000 pounds in a US ton   .

We have      $$\frac{x \;hours}{y \;pounds},\qquad \frac{2000\;pounds}{1\;ton}\qquad 1 ton,\qquad ?hours\\~\\$$

I want   hours,   I want to cancel out all the other units.

$$\frac{x\;hours}{y\;pounds}\times \frac{2000\;pounds}{1ton}\times 1ton=\frac{2000x}{y}\;hours$$

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Oct 27, 2019